%%
%% germs.tex
%% 
%% Made by Alex Nelson
%% Login   <alex@tomato3>
%% 
%% Started on  Tue Jan  5 11:34:11 2010 Alex Nelson
%% Last update Fri Jan 15 17:52:54 2010 Alex Nelson
%%
\documentclass{article}
\usepackage{notebk}
\let\Bbb\mathbb

\def\eqclass#1#2{[#1]_{#2}}
\def\diff{\mathop{\rm Diff}\nolimits}
\let\suchthat\mid
%===========================================
% exercise macros
\newcounter{exercise}
\font\manfnt=manfnt
\def\ex [#1]{\refstepcounter{exercise}
  \ifnum \value{exercise}>1 \smallbreak\fi
  \noindent{\bf Exercise \theexercise. }[{\it#1\/}]\kern6pt}
\def\EX [#1]{\refstepcounter{exercise}
  \ifnum \value{exercise}>1 \smallbreak\fi
  \noindent{\llap{\manfnt x\hskip3pt}\bf{{Exercise \theexercise}}.} [{\it#1\/}]\kern6pt}
\def\HM{H\kern-.1em M} % used for "higher math" exercise ratings
\def\ansno#1:{\medbreak\noindent%
  {{\bf #1. }\ignorespaces}}
\newwrite\ans%
\immediate\openout\ans=answers % file for answers to exercises
\newcommand{\myanswer}[1]{\par\medbreak
  \immediate\write\ans{}%
  \immediate\write\ans{\string\ansno {Exercise \theexercise}:}%
  \immediate\write\ans{ \detokenize{#1}}}
\newcommand{\dumpanswers}{\immediate\closeout\ans\input{answers}}
\def\answer#1\end{\myanswer{#1}\end}
%===========================================

\title{Notes on An Algebraic Formulation of Tangent Spaces}
\date{January 5, 2009}
\begin{document}
\maketitle
\tableofcontents
\immediate\write\ans{\detokenize{\pagebreak\section{Solution to Exercises}}}
\input{tex/differentiableStructure}
\input{tex/tangentSpace}




\dumpanswers{}
\pagebreak
\nocite{*}
\bibliographystyle{elements}
\bibliography{germs}\addcontentsline{toc}{section}{References}
\end{document}
